Answer:
The sum of the three angles in a triangle always equals 180 degrees. The triangle may be right, isosceles, acute, obtuse, equilateral or scalene, yet the sum of all the angles is still 180 degrees.
Use the properties from each type of triangle to solve the question of angle measurement. When you keep these specific characteristics in mind, it's a matter of accurately computing the angle measurement for finding angles by degrees.
Step-by-step explanation:
Draw a triangle if the image is not provided. Label each known angle with the corresponding measurements.
Add the two measurements together.
Example:
Angle A - 30 degrees
Angle B - 45 degrees
30 degrees + 45 degrees = 75 degrees
Find the measure of angle C by subtracting the total of the two measurements from 180 degrees to find the measure of the third angle.
180 - 75 = 105
Angle C = 105 degrees
Add the answer and the two supplied angle measurements to check for accuracy. The sum of all three angles should equal 180 degrees.
30 degrees + 45 degrees + 105 degrees = 180 degreesFinding Angles By Degrees: One Known Angle
Draw a triangle if the image is not provided. Isosceles and right triangles are common triangles used when one angle measurement is supplied. Label each known angle with the supplied measurement.
Form an equation, using the properties of the type of triangle presented in the problem that equals 180 degrees. Isosceles triangles contain equal angle measurements adjacent to the equal length sides while right triangles contain one 90-degree angle.
Isosceles Example:
Angle A (adjacent to equal side angle) = x
Angle B (adjacent to equal side angle) = x
Angle C = 80 degrees
x + x + 80 degrees = 180 degrees
Right triangle example:
Angle A = right angle = 90 degrees
Angle B = 15 degrees
Angle C = x
90 degrees + 15 degrees + x = 180 degrees
Solve the equation for the value of "x" by subtracting the digits from 180 degrees.
Isosceles example:
x + x + 80 = 180
2x = 100
x = 50 degrees
Right triangle example:
90 + 15 + x = 180 degrees
105 + x = 180 degrees
x = 75 degrees
Add the computed and supplied angle measurements to ensure it equals 180 degrees.
Isosceles example: 50 + 50 + 80 = 180 degrees
Right triangle example: 90 + 15 + 75 = 180 degrees
Sorry po kung mashadong mahaba.. Pa brainlyest nlng po ty
